Deformations of \(W\)-algebras associated to simple Lie algebras

From MaRDI portal
Publication:1290452

DOI10.1007/BF02099206zbMath0939.17011arXivq-alg/9708006OpenAlexW1994253047WikidataQ56687377 ScholiaQ56687377MaRDI QIDQ1290452

Nicolai Reshetikhin, Edward V. Frenkel'

Publication date: 4 July 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9708006



Related Items

Isomorphisms among quantum Grothendieck rings and propagation of positivity, Simply laced root systems arising from quantum affine algebras, \(q\)-Virasoro modular double and 3d partition functions, Algebraic approach to \(q,t\)-characters, Fractional quiver W-algebras, The \(t\)-analogs of \(q\)-characters at roots of unity for quantum affine algebras and beyond, Free field approach to the dilute AL models, Combinatorics of vertex operators and deformed \(W\)-algebra of type D\((2,1;\alpha)\), Quiver W-algebras, Quiver elliptic W-algebras, Supersymmetric Wilson loops, instantons, and deformed \(\mathcal{W}\)-algebras, The vertex-face correspondence and correlation functions of the fusion eight-vertex model. I: The general formalism, Quantum integrability from non-simply laced quiver gauge theory, Hofstadter’s butterfly and Langlands duality, Categorical relations between Langlands dual quantum affine algebras: exceptional cases, An elliptic Virasoro symmetry in 6d, Folded quantum integrable models and deformed \(W\)-algebras, The \((q, t)\)-Cartan matrix specialized at \(q=1\) and its applications, Integrating over quiver variety and BPS/CFT correspondence, Deformed Cartan matrices and generalized preprojective algebras. II: General type, Langlands duality for representations of quantum groups, Double quiver gauge theory and BPS/CFT correspondence, \(t\)-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras, Invariants of Weyl group action and \(q\)-characters of quantum affine algebras, \(q\)-opers, \(QQ\)-systems, and Bethe Ansatz, Mini-workshop: Three facets of \(R\)-matrices. Abstracts from the mini-workshop held October 17--23, 2021 (hybrid meeting), Elliptic modular double and 4d partition functions, Integrable Systems, Shuffle Algebras, and Bethe Equations, Elliptic quantum toroidal algebra \(U_{q,t,p}(\mathfrak{gl}_{1,tor})\) and affine quiver gauge theories, Double quantization of Seiberg–Witten geometry and W-algebras, Cluster realization of Weyl groups and \(q\)-characters of quantum affine algebras, Quantum $q$-Langlands Correspondence, \(q\)-Virasoro modular triple, Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm, Algebraic structures on the moduli spaces in gauge theories, Little string origin of surface defects, Quantum geometry and \(\theta\)-angle in five-dimensional super Yang-Mills, Trinion conformal blocks from topological strings, Langlands duality for finite-dimensional representations of quantum affine algebras, \(S\)-matrix identities in affine Toda field theories, Large and small density approximations to the thermodynamic Bethe ansatz., Unnamed Item, Monomials of \(q\) and \(q,t\)-characters for non simply-laced quantum affinizations, On the quantization of Seiberg-Witten geometry, Gauge/Vortex Duality and AGT, On the quantum affine vertex algebra associated with trigonometric \(R\)-matrix, The ABCDEFG of little strings, Categorical relations between Langlands dual quantum affine algebras: doubly laced types, Wave function renormalization constants and one-particle form factors in \(D^{(1)}_l\) Toda field theories, Quadratic relations of the deformed W-superalgebra Wq,t(sl(2|1)), On the universal representation of the scattering matrix of affine Toda field theory, Multiplicative Hitchin systems and supersymmetric gauge theory, Quadratic relations of the deformed \(W\)-algebra for the twisted affine Lie algebra of type \(A_{2N}^{(2)}\), Quasi-Hopf twist and elliptic Nekrasov factor, Web construction of ABCDEFG and affine quiver gauge theories, Poles of finite-dimensional representations of Yangians, Elliptic algebra \(U_{q,p}(\hat{\mathfrak {g}})\) and quantum \(Z\)-algebras, On refined Chern-Simons and refined ABJ matrix models, Quadratic relations of the deformed W-superalgebra Wq,tA(M,N)



Cites Work